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Finding the Fourth Proportional to 32,311.80, 48,468.84 and 8,940

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Solution

The fourth proportional to 32,311.80, 48,468.84 and 8,940 is: 13,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,311.80 : 48,468.84 = 8,940 : x
  2. Step 2: Convert to fraction form
    32,311.80/48,468.84 = 8,940/x
  3. Step 3: Cross multiply
    32,311.80x = 48,468.84 × 8,940
  4. Step 4: Simplify right side
    32,311.80x = 433,311,429.60
  5. Step 5: Solve for x
    x = 433,311,429.60/32,311.80
  6. Step 6: Final answer
    x = 13,410.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.